four people are chosen, what is the probability that two are born in the same month

There are 420 ways to select a committee of 4 people with at least 2 women.

To solve these problems, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by:

C(n, k) = n! / (k! * (n - k)!)

where "!" denotes the factorial function.

To select a committee of 4 people from a pool of 12 people, we can use the formula:

C(12, 4) = 12! / (4! * 8!) = 495

So there are 495 ways to select a committee of 4 people without any additional criteria.

To select a committee of 4 people with 2 men and 2 women, we can first count the number of ways to choose 2 men from the 5 men and 2 women from the 7 women. This gives us:

C(5, 2) * C(7, 2) = (5! / (2! * 3!)) * (7! / (2! * 5!)) = 10 * 21 = 210

So there are 210 ways to select a committee of 4 people with 2 men and 2 women.

To select a committee of 4 people with at least 2 women, we can count the number of committees with exactly 2 women, 3 women, or 4 women, and add them together.

The number of committees with exactly 2 women is:

C(7, 2) * C(5, 2) = 21 * 10 = 210

The number of committees with exactly 3 women is:

C(7, 3) * C(5, 1) = 35 * 5 = 175

The number of committees with all 4 women is:

C(7, 4) = 35

So the total number of committees with at least 2 women is:

210 + 175 + 35 = 420

Therefore, there are 420 ways to select a committee of 4 people with at least 2 women.

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Yes, line is used to define an angle.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

When two straight lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the location where two points come together.

The common point is referred to as the vertex.

The length of the angle formed when two rays or arms intersect at a common vertex is known as an angle measure in geometry.

A straight line is a straight angle.

Therefore, two lines are used to define an angle.

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The remainder of 30 divided by 775, is 0.0387.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

The number 30 is called the numerator or dividend, and the number 775 is called the denominator or divisor.

The quotient of 30 and 775,

30 divided by 775,

that means,

30/775

= 0.0387, this is the remainder.

Therefore, 0.0387 is the remainder.

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The probability of getting one blue marble out of the two is; 0.55

The parameters given are;

Number of white marbles = 5

Number of blue marbles = 2

Now, from the results of a marble being drawn twice and replaced 100 times we have;

White, White = 27

White, Blue = 22

Blue, Blue = 18

Blue, White = 33

Thus, probability of getting one blue marble is;

P(White, Blue) + P(Blue, White)

= (22/100) + (33/100)

= 55/100

= 0.55

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Answer:4.2 x 10^4 your welcome

Step-by-step explanation:

Answer: x=1.435084

Step-by-step explanation: 5/3e^x-1-2=4

5/3(2.718282x)−3=4

5/3(2.718282x)−3=4,

Step 1: Add 3 to both sides.

5/3(2.718282x)=7

Step 2: Divide both sides by 5/3.

Look at the photo⬇

Answer: what are you doing stepbro

Step-by-step explanation: i like doggos :)

Answer:

-7x²-13x+2

Step-by-step explanation:

-7x²-14x+1x+2

The probability that in any given period of 400 days there will be an accident on one day is 0.2707

Given that;

In a certain industrial facility, accidents occur infrequently. it is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other.

n = 400, p = 0.005

Poisson distribution is given by;

e P(x) = (λˣe^λ ) / x!

Here, Mean(λ) = np

                        = 400*0.005

                        =2

The probability that there will be an accident on one day;

(P(x = 1)) = (λxe-λ)/x!

             = 2*e-2

             = 0.2707

The probability that in any given period of 400 days there will be an accident on one day is 0.2707

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Answer:

neither

Step-by-step explanation:

the slope of the first seems to be 1/5 while the second looks to be 2/5

Answer:

0.040 "<" 0.207

Step-by-step explanation:

0.040

0.207

We can see that there is a 2 in 0.207 in the tenths spot, which automatically makes it larger than 0.040.

Write an inequality using the "<" sign:

0.040 < 0.207.

Hope this helps!

Answer: p = 4.1

Step-by-step explanation:

Gregs's mom baked 24 cookies, while Vinnie's mom baked 36 cookies. Brad's mom baked twice as much as Greg's mom, resulting in a total of 48 cookies. The total number of cookies that were baked is found by adding the number of cookies that each mom baked:

24 + 36 + 48 = 108.

The cookies can be divided into 3 groups of 36, 4 groups of 27, 6 groups of 18, 9 groups of 12, 12 groups of 9, 18 groups of 6, 27 groups of 4, or 36 groups of 3 cookies. Since there are more than 100 words required, let's talk about the importance of fractions and equivalent ratios.

In conclusion, Greg's mom baked 24 cookies, Vinnie's mom baked 36 cookies, and Brad's mom baked 48 cookies, resulting in a total of 108 cookies. The cookies can be divided into fractions or equivalent ratios to distribute them evenly among the children.

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The fractions that are greater than 2/3 are 6/6, 4/5, and 9/10.

To determine which fractions are greater than 2/3, we need to compare them to 2/3 and see which ones are larger.

Therefore, the fractions that are greater than 2/3 are 6/6, 4/5, and 9/10.

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Answer:

-3y+4

Step-by-step explanation:

(4y + 5) + (-7y - 1)=

4y-7y+5-1=

-3y+4

The distance between the points (-3, -6) and (5, 0) is 10 units.

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

To determine the distance between two points in a coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem.

The distance formula for two points (x₁, y₁) and (x₂, y₂) in a coordinate plane is:

Distance = √{(x₂ - x₁)² + (y₂ - y₁)²}

Given the two points (-3, -6) and (5, 0), we can plug in the values into the distance formula as follows:

x₁ = -3, y₁ = -6 (coordinates of the first point)

x₂ = 5, y₂ = 0 (coordinates of the second point)

Distance = √{(x₂ - x₁)² + (y₂ - y₁)²}

= √{(8)² + (6)²}

= √{(64) + (36)

= √100

= 10

Hence, the distance between the points (-3, -6) and (5, 0) is 10 units.

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Answer:

A) -1

Step-by-step explanation:

To solve this, simply plug in 2 for x.

f(x)= -3x+5

f(x)= -3(2)+5

Now solve the multiplication.

f(x)= -6+5

Now add

f(x)= -1

So the answer is -1

Answer:

f = -1/2

Step-by-step explanation:

plug in 2 for (x):

f(2)=[-3(2)+5]

Solve right side:

[-3*2=-6

-6+5 = -1] = -1

Solve for f:

f(2) = -1

/2 /2

f= -1/2

answer:

Step-by-step explanation:

Answer:

0.030303...

Step-by-step explanation:

i put the dots because this is a repeating decimal

Answer:

0.03030303030303.

Therefore, the solutions to the equation x² + 3x = 3 are x = -3/2 + √(21)/2 and x = -3/2 - √(21)/2.

An equation is a mathematical statement that shows the equality of two expressions. It usually consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

Here,

To complete the square for the expression x² + 3x, we need to add and subtract (3/2)² = 9/4 inside the parentheses, as follows:

x² + 3x = x² + 3x + 9/4 - 9/4

= (x + 3/2)² - 9/4

Now the left-hand side can be written as:

(x + 3/2)² - 9/4 = 3

Adding 9/4 to both sides, we get:

(x + 3/2)² = 3 + 9/4

= 21/4

Taking the square root of both sides, we get:

x + 3/2 = ±√(21)/2

Subtracting 3/2 from both sides, we get the two solutions:

x = -3/2 ± √(21)/2

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Answer:

R=(-2,-8)

S=(1, -8)

T=(1, -4)

U=(-2,-4)

Step-by-step explanation:

Answer:

m+t-r

Step-by-step explanation:

Answer:

put the numbers that are x into the equation. you always try to find y in this problem

Step-by-step explanation:

y=x+8

the first x is 0 so we do

y= 0+8

y=8

and you keep repeating this where x=1 and x= 2

If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

Probability  can be regarded as a  measure of the likelihood of an event  that can take place.

It should be noted that  Many events cannot be predicted with total certainty, hence , If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

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Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y=41*8.2+12

Y=336.2+12

y=348.2

Answer:

Simplify the expression.

Exact Form:

−  13/ 3

Decimal Form:

− 4. ¯ 3

Mixed Number Form:

− 4  1/ 3

Hope this helps!

The derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

a) To find f'(x) for f(x) = x*sin(x), we can use the product rule and the derivative of the sine function.

Using the product rule, we have:

f'(x) = (xsin(x))' = xsin'(x) + sin(x)*x'

The derivative of sin(x) is cos(x), and the derivative of x with respect to x is 1. Therefore:

f'(x) = x*cos(x) + sin(x)

So, the derivative of f(x) = xsin(x) is f'(x) = xcos(x) + sin(x).

(b) To find f'(x) for f(x) = sech^(-1)(x^2), we can use the chain rule and the derivative of the inverse hyperbolic secant function.

Let u = x^2. Then, f(x) can be rewritten as f(u) = sech^(-1)(u).

Using the chain rule, we have:

f'(x) = f'(u) * u'

The derivative of sech^(-1)(u) can be found using the derivative of the inverse hyperbolic secant function:

(sech^(-1)(u))' = 1/sqrt(1 - u^2)

Since u = x^2, we have:

f'(x) = 1/sqrt(1 - (x^2)^2) * (x^2)'

Simplifying:

f'(x) = 1/sqrt(1 - x^4) * 2x

So, the derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

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Given that the measure of an acute angle θ of a right triangle and sin θ = 0.35To find the other five trigonometric ratios of θ, we can use the Pythagorean theorem, which states that\((sin θ)² + (cos θ)² = 1\) .

Now, \(sin θ = 0.35\) Let's assume that the adjacent side = x, and the hypotenuse = h;

then the opposite side is\(h² - x²\), according to the Pythagorean theorem. Thus, we have:

\(sec θ = hypotenuse / adjacent side\)

\(= h / x\)

\(cosec θ = hypotenuse / opposite side\)

\(= h / (h² - x²)^1/2\)  We have now found the values of the other five trigonometric ratios of θ.

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